Conference Proposal: Cluster Algebra and Mathematical Physics

会议提案：团簇代数和数学物理

• 批准号: 1802934
• 负责人: Michael Shapiro
• 金额: $ 4万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-05-01 至 2019-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1802934&HistoricalAwards=false
• 关键词: Conference; Proposal; Cluster; Algebra; Mathematical

This award supports participation in the conference "Cluster Algebras and Mathematical Physics (CAMP)", to be held May 7th to 11th, 2018. The conference will take place on the Michigan State University (MSU) campus in East Lansing Michigan and hosted by the MSU Institute for Mathematical and Theoretical Physics (IMTP). The conference will be an opportunity to bring together both the mathematics and physics communities to present and collaborate on research in this new and exciting overlapping field. The conference is designed for 50-70 participants. In addition to the rich schedule of talks for Monday to Friday, there will be an additional poster session for graduate students and early career mathematicians. A substantial portion of the funding is being set aside for such participants. Further information can be found at the conference website: https://sites.google.com/site/campmay7may11/First invented by Fomin and Zelevinsky in 2001 to study positivity of canonical bases, the research field of cluster algebra has since taken off. Cluster algebras have played a key role in new developments in supersymmetric Yang-Mills theory, also equivalent to the perturbative topological B model string theory and quiver gauge theories, specifically brane tilings and Seiberg dualities. For example, in a collaboration between physicists and mathematicians, the cluster theory of positive Grassmannian resulted in the definition of the amplituhedron. This conference will focus on new developments in this area as well as applications of similar techniques beyond supersymmetric theories.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项支持参加将于2018年5月7日至11日举行的“集群代数和数学物理(CAMP)”会议。会议将在密歇根州东兰辛的密歇根州立大学(MSU)校园举行，由密歇根州立大学数学与理论物理研究所(IMTP)主办。这次会议将是一次机会，让数学界和物理界汇聚一堂，展示这一新的令人兴奋的交叉领域的研究并进行合作。这次会议是为50-70人设计的。除了周一至周五丰富的演讲日程外，还将为研究生和早期职业数学家提供额外的海报展示环节。为这些参与者预留了很大一部分资金。更多信息可在会议网站上找到：https://sites.google.com/site/campmay7may11/First是由Fomin和Zlevinsky于2001年发明的，目的是研究正则基，此后簇代数的研究领域已经开始腾飞。团簇代数在超对称Yang-Mills理论的新发展中起着关键作用，它也等价于微扰拓扑B模型弦理论和箭图规范理论，特别是薄膜平铺和Seiberg对偶。例如，在物理学家和数学家的合作中，正格拉斯曼的团簇理论导致了振幅多面体的定义。本次会议将聚焦于这一领域的新发展以及超对称理论以外类似技术的应用。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。